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Finding the Fourth Proportional to 6,824.60, 9,419.46 and 4,465.40

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Solution

The fourth proportional to 6,824.60, 9,419.46 and 4,465.40 is: 6,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.60 : 9,419.46 = 4,465.40 : x
  2. Step 2: Convert to fraction form
    6,824.60/9,419.46 = 4,465.40/x
  3. Step 3: Cross multiply
    6,824.60x = 9,419.46 × 4,465.40
  4. Step 4: Simplify right side
    6,824.60x = 42,061,656.68
  5. Step 5: Solve for x
    x = 42,061,656.68/6,824.60
  6. Step 6: Final answer
    x = 6,163.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.